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Finding the Fourth Proportional to 146,946.96, 202,824 and 90,408.96

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Solution

The fourth proportional to 146,946.96, 202,824 and 90,408.96 is: 124,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,946.96 : 202,824 = 90,408.96 : x
  2. Step 2: Convert to fraction form
    146,946.96/202,824 = 90,408.96/x
  3. Step 3: Cross multiply
    146,946.96x = 202,824 × 90,408.96
  4. Step 4: Simplify right side
    146,946.96x = 18,337,106,903.04
  5. Step 5: Solve for x
    x = 18,337,106,903.04/146,946.96
  6. Step 6: Final answer
    x = 124,787.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.